Generalization of Weak Amenability of Banach Algebras

TL;DR

This paper explores a new concept called $(...},

Contribution

It extends the notion of weak amenability to group algebras like $M(G)$, $L^1(G)$, and $S^1(G)$, providing new insights into their algebraic properties.

Findings

$(...},

contribution

Abstract

New notion of weak amenability, $(\varphi,\psi)$-weak amenability recently introduced. In this paper we consider this new notion and study $(\varphi,\psi)$-weak amenability of group algebras $M(G)$, $L^1(G)$ and $S^1(G)$.